Some fuzzy-interval integral inequalities for harmonically convex fuzzy-interval-valued functions
Copyright policy )Some fuzzy-interval integral inequalities for harmonically convex fuzzy-interval-valued functions
<abstract> <p>It is well-known fact that fuzzy interval-valued functions (F-I-V-Fs) are generalizations of interval-valued functions (I-V-Fs), and inclusion relation and fuzzy order relation on interval space and fuzzy space are two different concepts. Therefore, by using fuzzy order relation (FOR), we derive inequalities of Hermite-Hadamard (<italic>H</italic>·<italic>H</italic>) and Hermite-Hadamard Fejér (<italic>H</italic>·<italic>H</italic> Fejér) like for harmonically convex fuzzy interval-valued functions by applying fuzzy Riemann integrals. Moreover, we establish the relation between fuzzy integral inequalities and fuzzy products of harmonically convex fuzzy interval-valued functions. The outcomes of this study are generalizations of many known results which can be viewed as an application of a defined new version of inequalities.</p> </abstract>
- Taif University Saudi Arabia
- China Medical University Taiwan
- Prince Sultan University Saudi Arabia
- China Medical University China (People's Republic of)
- COMSATS University Islamabad Pakistan
Statistics and Probability, Interval (graph theory), fuzzy-interval integrals, Social Sciences, Fuzzy Differential Equations and Uncertainty Modeling, Convex Functions, Multi-Criteria Decision Making, Management Science and Operations Research, Matrix Inequalities and Geometric Means, Convexity of real functions in one variable, generalizations, Decision Sciences, Fractional Integrals, Hermite-Hadamard Fejér inequality, Interval-Valued Functions, QA1-939, FOS: Mathematics, hermite-hadamard inequality, harmonically convex fuzzy interval-valued function, Applied Mathematics, Fuzzy real analysis, Pure mathematics, Linguistics, Discrete mathematics, FOS: Philosophy, ethics and religion, Fuzzy Differential Equations, Fuzzy logic, Philosophy, Hermite-Hadamard inequality, Combinatorics, Physical Sciences, Fuzzy set, FOS: Languages and literature, Inequalities for sums, series and integrals, Hermite-Hadamard Inequalities, hermite-hadamard fejér inequality, Mathematics
Statistics and Probability, Interval (graph theory), fuzzy-interval integrals, Social Sciences, Fuzzy Differential Equations and Uncertainty Modeling, Convex Functions, Multi-Criteria Decision Making, Management Science and Operations Research, Matrix Inequalities and Geometric Means, Convexity of real functions in one variable, generalizations, Decision Sciences, Fractional Integrals, Hermite-Hadamard Fejér inequality, Interval-Valued Functions, QA1-939, FOS: Mathematics, hermite-hadamard inequality, harmonically convex fuzzy interval-valued function, Applied Mathematics, Fuzzy real analysis, Pure mathematics, Linguistics, Discrete mathematics, FOS: Philosophy, ethics and religion, Fuzzy Differential Equations, Fuzzy logic, Philosophy, Hermite-Hadamard inequality, Combinatorics, Physical Sciences, Fuzzy set, FOS: Languages and literature, Inequalities for sums, series and integrals, Hermite-Hadamard Inequalities, hermite-hadamard fejér inequality, Mathematics
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